Okay, I got it.
And hooray - the output html-file indicates that I am successfully logged in. I got my username and there is also a logout-button.
But sadly in the finished e-book the articles still don't appear and there is also a message that i should login...
So it seems that the login works now, but the fetching browser still isn't logged in :-S
Do I have to manually pass the information (cookies?) to the other browser instance? I didn't think so till now, in the recipes I also didn't find a hint for that...